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Finding the Third Proportional to 357,571.13 and 771,859.13

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Solution

The third proportional to 357,571.13 and 771,859.13 is: 1,666,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,571.13 : 771,859.13 = 771,859.13 : x
  2. Step 2: Convert to fraction form
    357,571.13/771,859.13 = 771,859.13/x
  3. Step 3: Cross multiply
    357,571.13x = 771,859.13 × 771,859.13
  4. Step 4: Simplify right side
    357,571.13x = 595,766,508,845.77
  5. Step 5: Solve for x
    x = 595,766,508,845.77/357,571.13
  6. Step 6: Final answer
    x = 1,666,148.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.